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Finding the Third Proportional to 86,461.88 and 185,839.88

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Solution

The third proportional to 86,461.88 and 185,839.88 is: 399,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461.88 : 185,839.88 = 185,839.88 : x
  2. Step 2: Convert to fraction form
    86,461.88/185,839.88 = 185,839.88/x
  3. Step 3: Cross multiply
    86,461.88x = 185,839.88 × 185,839.88
  4. Step 4: Simplify right side
    86,461.88x = 34,536,459,140.02
  5. Step 5: Solve for x
    x = 34,536,459,140.02/86,461.88
  6. Step 6: Final answer
    x = 399,441.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.